5492188800 has 576 divisors, whose sum is σ = 23249553600. Its totient is φ = 1254113280.

The previous prime is 5492188747. The next prime is 5492188813. The reversal of 5492188800 is 88812945.

It is a happy number.

5492188800 is a `hidden beast` number, since 5 + 492 + 1 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5442696 + ... + 5443704.

Almost surely, 2^5492188800 is an apocalyptic number.

5492188800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5492188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624776800).

5492188800 is an abundant number, since it is smaller than the sum of its proper divisors (17757364800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5492188800 is a wasteful number, since it uses less digits than its factorization.

5492188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5492188800 is about 74109.3030597374. The cubic root of 5492188800 is about 1764.3381276026.

The spelling of 5492188800 in words is "five billion, four hundred ninety-two million, one hundred eighty-eight thousand, eight hundred".